Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings
Very recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixed-point problem. We discuss the strong convergence of the viscosity approximation method for solving the split common...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/438023 |
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| _version_ | 1832566749882482688 |
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| author | Jing Zhao Songnian He |
| author_facet | Jing Zhao Songnian He |
| author_sort | Jing Zhao |
| collection | DOAJ |
| description | Very recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixed-point problem. We discuss the strong convergence of the viscosity approximation method for solving the split common fixed-point problem for the class of quasi-nonexpansive mappings in Hilbert spaces. Our results improve and extend the corresponding results announced by many others. |
| format | Article |
| id | doaj-art-40af7e8c808e474b85ad46436038778c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-40af7e8c808e474b85ad46436038778c2025-02-03T01:03:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/438023438023Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive MappingsJing Zhao0Songnian He1College of Science, Civil Aviation University of China, Tianjin 300300, ChinaCollege of Science, Civil Aviation University of China, Tianjin 300300, ChinaVery recently, Moudafi (2011) introduced an algorithm with weak convergence for the split common fixed-point problem. In this paper, we will continue to consider the split common fixed-point problem. We discuss the strong convergence of the viscosity approximation method for solving the split common fixed-point problem for the class of quasi-nonexpansive mappings in Hilbert spaces. Our results improve and extend the corresponding results announced by many others.http://dx.doi.org/10.1155/2012/438023 |
| spellingShingle | Jing Zhao Songnian He Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings Journal of Applied Mathematics |
| title | Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings |
| title_full | Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings |
| title_fullStr | Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings |
| title_full_unstemmed | Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings |
| title_short | Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings |
| title_sort | strong convergence of the viscosity approximation process for the split common fixed point problem of quasi nonexpansive mappings |
| url | http://dx.doi.org/10.1155/2012/438023 |
| work_keys_str_mv | AT jingzhao strongconvergenceoftheviscosityapproximationprocessforthesplitcommonfixedpointproblemofquasinonexpansivemappings AT songnianhe strongconvergenceoftheviscosityapproximationprocessforthesplitcommonfixedpointproblemofquasinonexpansivemappings |